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You probably heard about the Masuda Method.
Instead of the standard 1/8192 chance of being shiny, the method increases it to a 1/1366 chance, which is pretty high considering the previous chance.
The method is to breed 2 foreign Pokemon (meaning 2 Pokemon from 2 different countries) together and producing an egg. That egg has a 1/1366 chance of being a Shiny.

Any 2 will be fine. So yes.
The game must have been bought in that country. So if I bought a Black 2 in Japan and brought it to the US, it will still be a Japanese game.
As long as you have 2 games bought in 2 different countries, you will be fine.

Well you have the same chances of getting a shiny as you usually would with normal Pokemon.
But there is a bredding method that splits the unlikley chance down.This is called the Masuda Method.If you breed Pokemon from two diffrent countries,like from U.S. and Japan,this extremly low chance is cut in half.
I hope you get a shiny Gengar!